Is this Class 9 Maths worksheet on Circles free?

Yes — it is completely free, with no login and no ads. You can print it or save it as a PDF, and generate unlimited variations.

Does the Circles worksheet come with answers?

Yes. Every worksheet has a separate answer key with the correct answers, short explanations and marks, so it is ready for marking.

Can I choose how many questions and which types?

Yes. Open the generator for this chapter and set how many MCQs, short, long and HOTS questions you want; totals and marks update live, and you can swap any single question.

Which board and class is this for?

This worksheet is aligned to CBSE Class 9 Maths, chapter “Circles”.

🧾 CBSE · Class 9

Class 9 Maths: Circles Worksheet (with Answers)

A free, print-ready worksheet on Circles for CBSE Class 9 Maths, with a matching answer key. Use the sample below, or build your own with the exact mix of questions you need — no login, no ads.

Generate your own worksheet for this chapter →Read the chapter notes

Sample worksheet

7 of 17 questions from this chapter. Generate your own for the full set, more variations, and a clean print layout.

1. A line segment joining two points on a circle is a:
- (a) arc
- (b) chord
- (c) radius
- (d) tangent
2. The perpendicular from the centre of a circle to a chord:
- (a) doubles it
- (b) does not meet it
- (c) is equal to it
- (d) bisects it
3. The angle subtended by an arc at the centre is ____ the angle at the circumference.
- (a) equal to
- (b) three times
- (c) twice
- (d) half
4. The angle in a semicircle is:
- (a) 45°
- (b) 60°
- (c) 180°
- (d) 90°
5. What is a cyclic quadrilateral?
6. State the relationship between equal chords and their distance from the centre.
7. Prove that the angle subtended by an arc at the centre is twice the angle at the circumference (outline).

View answers

1. (b) chord — Such a segment is a chord.
2. (d) bisects it — It bisects the chord.
3. (c) twice — It is twice the angle at the circumference.
4. (d) 90° — It is a right angle, 90°.
5. A quadrilateral whose all four vertices lie on a circle.
6. Equal chords are equidistant from the centre, and vice versa.
7. Let arc BC subtend ∠BOC at the centre O and ∠BAC at point A on the remaining circle. Join AO and extend it. Using the exterior angle property in triangles OAB and OAC (both isosceles, since OA = OB = OC = radius), each part of ∠BOC equals twice the corresponding part at A, so ∠BOC = 2∠BAC.

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How it works

Every question is drawn from StudyMatic’s own Maths bank for Circles — nothing is auto-generated or invented. Pick how many of each type you want, add your own questions if you like, choose 1–4 paper sets for anti-cheating, and print the worksheet and answer key separately or save them as PDF.

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FAQ

Is this Class 9 Maths worksheet on Circles free?: Yes — it is completely free, with no login and no ads. You can print it or save it as a PDF, and generate unlimited variations.
Does the Circles worksheet come with answers?: Yes. Every worksheet has a separate answer key with the correct answers, short explanations and marks, so it is ready for marking.
Can I choose how many questions and which types?: Yes. Open the generator for this chapter and set how many MCQs, short, long and HOTS questions you want; totals and marks update live, and you can swap any single question.
Which board and class is this for?: This worksheet is aligned to CBSE Class 9 Maths, chapter “Circles”.